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Finding the Fourth Proportional to 10,137.26, 13,978.14 and 8,719.40

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Solution

The fourth proportional to 10,137.26, 13,978.14 and 8,719.40 is: 12,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.26 : 13,978.14 = 8,719.40 : x
  2. Step 2: Convert to fraction form
    10,137.26/13,978.14 = 8,719.40/x
  3. Step 3: Cross multiply
    10,137.26x = 13,978.14 × 8,719.40
  4. Step 4: Simplify right side
    10,137.26x = 121,880,993.92
  5. Step 5: Solve for x
    x = 121,880,993.92/10,137.26
  6. Step 6: Final answer
    x = 12,023.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.